A cardiovascular-respiratory control system model including state delay with application to congestive heart failure in humans
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Publication:814952
DOI10.1007/s00285-004-0293-3zbMath1080.92035OpenAlexW2049315485WikidataQ47913054 ScholiaQ47913054MaRDI QIDQ814952
Susanne Timischl-Teschl, Franz Kappel, Jerry J. Batzel
Publication date: 8 February 2006
Published in: Journal of Mathematical Biology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00285-004-0293-3
Medical applications (general) (92C50) Existence theories for optimal control problems involving ordinary differential equations (49J15) Physiology (general) (92C30)
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Cites Work
- General solution for flow and stress phenomena in elastic vessels (Navier-Stokes)
- A mathematical model for fundamental regulation processes in the cardiovascular system
- Modelling of the baroreflex-feedback mechanism with time-delay
- A model for the cardiovascular system under an ergometric workload
- Modeling instability in the control system for human respiration: Applications to infant non-REM sleep
- Stability of the human respiratory control system. I: Analysis of a two-dimensional delay state-space model
- Stability of the human respiratory control system. II: Analysis of a three-dimensional delay state-space model
- Spline Approximation for Retarded Systems and the Riccati Equation
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